Chapter 12.6, Problem 1LC

To determine

To calculate: The value of expression $7!$ .

Answer to Problem 1LC

The value is $5,040.$ .

Explanation of Solution

Given information:

  $7!$

Formula used:

A permutation is an arrangement of objects in a specific order.

For any positive integer $n$, the expression $n$ factorial is written as $n!$ and is the product of integers from n down to 1.

Calculation:

Consider ,

  $7!$

  $\begin{array}{l}7!=7\times 6\times 5\times 4\times 3\times 2\times 1\\ =42\times 20\times 6\\ =5,040\end{array}$

Hence, the value is $5,040.$